3x+2+x=1.3(12x+6)

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Solution for 3x+2+x=1.3(12x+6) equation: 


Simplifying
3x + 2 + x = 1.3(12x + 6)

Reorder the terms:
2 + 3x + x = 1.3(12x + 6)

Combine like terms: 3x + x = 4x
2 + 4x = 1.3(12x + 6)

Reorder the terms:
2 + 4x = 1.3(6 + 12x)
2 + 4x = (6 * 1.3 + 12x * 1.3)
2 + 4x = (7.8 + 15.6x)

Solving
2 + 4x = 7.8 + 15.6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15.6x' to each side of the equation.
2 + 4x + -15.6x = 7.8 + 15.6x + -15.6x

Combine like terms: 4x + -15.6x = -11.6x
2 + -11.6x = 7.8 + 15.6x + -15.6x

Combine like terms: 15.6x + -15.6x = 0.0
2 + -11.6x = 7.8 + 0.0
2 + -11.6x = 7.8

Add '-2' to each side of the equation.
2 + -2 + -11.6x = 7.8 + -2

Combine like terms: 2 + -2 = 0
0 + -11.6x = 7.8 + -2
-11.6x = 7.8 + -2

Combine like terms: 7.8 + -2 = 5.8
-11.6x = 5.8

Divide each side by '-11.6'.
x = -0.5

Simplifying
x = -0.5

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